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matemaattinen mallintaminen

Mathematics and Statistics

About the research group

The three main focus areas of the group of Mathematics and Statistics are Mathematics, Business Mathematics, and Statistics. The group makes research especially using Mathematical and Statistical Modeling.

The members of the group are professors, post-doc researchers, and PhD students. The group has active national and international research collaboration with several researchers from different national and foreign Universities, scientific and other organizations. The members of the group publish their research mainly in international refereed journals such as Bernouilli, Journal of Functional Analysis, Journal für die Reine und Angewandte Mathematik, Mathematische Annalen, Review of Financial Studies, Stochastic Processes and their Applications.

The leader of the research group is Professor Seppo Hassi.

Research themes

Mathematics

  • Algebraic curves and function fields over finite fields
  • Algebraic number theory, character sums over finite fields 
  • Algebraic coding theory, cyclic codes and algebraic geometry codes
  • Bounded and unbounded operators in Hilbert, Pontryagin and Krein spaces 
  • Boundary value problems, moment problems, interpolation problems
  • Boundary triple and boundary pair techniques
  • Classes of complex functions and their representations
  • Lebesgue type decompositions for forms and linear operators
  • Mathematical system theory in infinite-dimensional spaces
  • Realization theory for discrete and continuous time systems
  • Reproducing kernel spaces in Hilbert and Pontryagin space setting 
  • Semibounded and sectorial forms and their representations
  • Spectral theory and associated complex functions
  • Weyl functions, transfer functions and their realizations

 

Business Mathematics

  • Financial engineering
  • Fractional Brownian motion
  • Gaussian processes
  • Mathematical finance
  • Statistics of stochastic processes
  • Stochastic analysis
  • Volterra processes

Statistics

  • Financial econometrics and time series
  • Financial event study methodology
  • Multivariate statistics
  • Non-parametric statistics
  • Structural equation models

News and events

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kirjan kansi

Contributions to Mathematics and Statistics.
Essays in honor of Seppo Hassi

H.S.V. de Snoo & H.L. Wietsma (toim.)

Professori Seppo Hassin syntymäpäivän kunniaksi kirjoitettu juhlakirja sisältää 13 tieteellistä artikkelia. Kirja keskittyy kolmeen eri aiheeseen:  funktionaalinen analyysi ja operaattoriteoria, reuna-arvo-ongelmat, tilastotiede, stokastiikka ja matematiikan historia.

Acta Wasaensia 462. Vaasan yliopisto. 2021
Julkaisun pdf

Reseach group members

Kuva
Seppo Hassi

Seppo Hassi

Professor
School of Technology and Innovations, Mathematics
Puhelin
+358294498279
Toimisto
Fabriikki F482
Open profile page
Kuva
Seppo Pynnönen

Seppo Pynnönen

Professor
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
Puhelin
+358294498311
Toimisto
Fabriikki F488
Open profile page
Kuva
Tommi Sottinen

Tommi Sottinen

Professor
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
Puhelin
+358294498317
Toimisto
Fabriikki F485
Open profile page
Kuva
Ilkka Virtanen

Ilkka Virtanen

Professori, Emeritus
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
Toimisto
Fabriikki
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Kuva
Matti Laaksonen

Matti Laaksonen

Teacher
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
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Kuva
Marko Moisio

Marko Moisio

University Lecturer
School of Technology and Innovations, Mathematics
Puhelin
+358294498300
Toimisto
Fabriikki F492
Open profile page
Kuva
Bernd Pape

Bernd Pape

Lecturer
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
Puhelin
+358294498310
Toimisto
Fabriikki F484
Open profile page
Kuva
Lassi Lilleberg

Lassi Lilleberg

Teacher
School of Technology and Innovations, Mathematics
firstname.lastname@uwasa.fi
Toimisto
Fabriikki F496
Open profile page
Kuva
Foad Shokrollahi

Foad Shokrollahi

Assistant Professor
School of Technology and Innovations, Mathematics
Puhelin
+358294498603
Toimisto
Fabriikki F493
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Kuva
Hamidreza Maleki Almani

Hamidreza Maleki Almani

Doctoral Student
School of Technology and Innovations, Mathematics
Toimisto
Fabriikki F494
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